New results for positive solutions of singular fourth-order four-point p-Laplacian problem
New results for positive solutions of singular fourth-order four-point p-Laplacian problem
The existence and uniqueness of positive solutions are obtained for singular fourth-order four-point boundary value problem with p-Laplace operator $[\varphi_{p}(u''(t))]''=f(t,u(t))$ , $0< t<1$ , $u(0)=0$ , $u(1)=au(\xi)$ , $u''(0)=0$ , $u''(1)=bu''(\eta)$ , where $f(t,u)$ is singular at $t=0,1$ and $u=0$ . A fixed point theorem for mappings that are decreasing …